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# 1.5-6 - 28 CHAPTER 1 Tension Compressien and Shear Problem...

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Unformatted text preview: 28 CHAPTER 1 Tension, Compressien, and Shear Problem 15-5 A tensile test is pet'brmcd en a brass specimen 10 mm in diameter using:T a gage length of 50 mm (see ﬁgure). When the tensile load P reaches a value of 20 RN, the distance between the gage marks has increased by 0.122 mm. ta) What is the modulus et'elastieity E of the brass? (b) ll’ the diameter decreases by 0.00330 mm. what is Poisson's ratio? Solution 1.5-6 Brass-specimen in tension at = 10mm Gage length 1.. z 50 mm {11) MODULUS 0F ELASTICITY P = 20 kN 5 == 0. i 2'2 min Ad = 0.00830 mm F 0' 254.6 MPa lU—i G L = -— = ——————--—--- 2 . 'L (—— 3 0.00244) p ' AXIAL S'I‘RESS (h) Potsert-t’s RATIO P 20k , 0' "—“r W : M’“—“ 2 254-11 NIPH 8' : 1’8 A 1 10 )2 , ( mm Ad 3 e’d : t'ed Assume a is below the proportional limit so that r = A9: = 0,008?) mm x 0 H <_ Honke’s law is vaiid. ed (0.002440)th mm) H AXIAL s‘raam n j? g = i z m0'1"““m : 0.002440 L 50 mm Problem 1.5-? A bellow, brass circular pipe ABC (see ﬁgure) supports a lead P, 2 26.5 kips acting at the tep. A second lead P; ? 22.0 kips is uniformly Pt distributed around the cap plate at B. The diameters and thicknesses ol‘ the upper , and lower parts of the pipe are aim = L25 in., 1,”; = 0.5 in., dac 2 2.25 in., and I” x 0.375 in.. respectively. The modules at elasticity is 14,000 itsi. When both 1 leads are i'uliy applied, the.wall thickness at" pipe BC increases by 200 3 t0"" in. (It) Find the increase in the inner diameter of pipe segment BC. _ {h} Find Poisson‘s ratio for the brass. Rte M I ' (C) Find the increase in the wall thickness Di" pipe segment AB and the increase itt the inner diameter el‘AB. Cap plate I def w— : rec —— C I ...
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